| 释义 |
Reidemeister MovesIn the 1930s, Reidemeister first rigorously proved that Knots exist which aredistinct from the Unknot. He did this by showing that all Knot deformations can be reduced to a sequence ofthree types of ``moves,'' called the (I) Twist Move, (II) Poke Move, and (III) Slide Move.
Reidemeister's Theorem guarantees that moves I, II, and III correspond to Ambient Isotopy (moves II and IIIalone correspond to Regular Isotopy). He then defined the concept of Colorability, which isinvariant under Reidemeister moves. See also Ambient Isotopy, Colorable, Markov Moves, Regular Isotopy, Unknot
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